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Finding the Fourth Proportional to 127,902.72, 191,873.84 and 43,643.20

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Solution

The fourth proportional to 127,902.72, 191,873.84 and 43,643.20 is: 65,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,902.72 : 191,873.84 = 43,643.20 : x
  2. Step 2: Convert to fraction form
    127,902.72/191,873.84 = 43,643.20/x
  3. Step 3: Cross multiply
    127,902.72x = 191,873.84 × 43,643.20
  4. Step 4: Simplify right side
    127,902.72x = 8,373,988,373.89
  5. Step 5: Solve for x
    x = 8,373,988,373.89/127,902.72
  6. Step 6: Final answer
    x = 65,471.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.